4412620800 has 900 divisors, whose sum is σ = 19665442720. Its totient is φ = 955514880.

The previous prime is 4412620789. The next prime is 4412620811. The reversal of 4412620800 is 80262144.

It is an interprime number because it is at equal distance from previous prime (4412620789) and next prime (4412620811).

It is a tau number, because it is divible by the number of its divisors (900).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232243191 + ... + 232243209.

Almost surely, 2^4412620800 is an apocalyptic number.

4412620800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4412620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9832721360).

4412620800 is an abundant number, since it is smaller than the sum of its proper divisors (15252821920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4412620800 is an equidigital number, since it uses as much as digits as its factorization.

4412620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4412620800 is about 66427.5605453038. The cubic root of 4412620800 is about 1640.2077864824.

Adding to 4412620800 its reverse (80262144), we get a palindrome (4492882944).

The spelling of 4412620800 in words is "four billion, four hundred twelve million, six hundred twenty thousand, eight hundred".